Chaturvedi, S. ; Kapoor, A. K. ; Sandhya, R. ; Srinivasan, V. ; Simon, R. (1991) Generalized commutation relations for a single-mode oscillator Physical Review A, 43 (8). pp. 4555-4557. ISSN 1050-2947
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Official URL: http://pra.aps.org/abstract/PRA/v43/i8/p4555_1
Related URL: http://dx.doi.org/10.1103/PhysRevA.43.4555
Abstract
A generalized commutation relation of a single-mode oscillator is proposed. Bose-Einstein, Fermi-Dirac, and Greenberg's infinite statistics are shown to be special cases of this commutation relation. The Fock states, coherent states, and analogs of squeezed coherent states for this commutation relation are constructed. Finally, the quantization of a free infinite-statistics field is discussed using the Umezawa-Takahashi procedure [H. Umezawa and Y. Takahashi, Prog. Theor. Phys. 9, 14 (1953); Nucl. Phys. 51, 193 (1964)].
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 6992 |
| Deposited On: | 26 Oct 2010 04:43 |
| Last Modified: | 28 May 2011 06:23 |
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